Search a number
-
+
10434 = 233747
BaseRepresentation
bin10100011000010
3112022110
42203002
5313214
6120150
742264
oct24302
915273
1010434
117926
126056
134998
143b34
153159
hex28c2

10434 has 16 divisors (see below), whose sum is σ = 21888. Its totient is φ = 3312.

The previous prime is 10433. The next prime is 10453. The reversal of 10434 is 43401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

210434 is an apocalyptic number.

10434 is an abundant number, since it is smaller than the sum of its proper divisors (11454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944).

10434 is a wasteful number, since it uses less digits than its factorization.

10434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10434 is about 102.1469529648. The cubic root of 10434 is about 21.8516185547.

Adding to 10434 its reverse (43401), we get a palindrome (53835).

It can be divided in two parts, 10 and 434, that added together give a palindrome (444).

The spelling of 10434 in words is "ten thousand, four hundred thirty-four".

Divisors: 1 2 3 6 37 47 74 94 111 141 222 282 1739 3478 5217 10434